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Research Papers: Flows in Complex Systems

Flow and Mass Transfer for an Unsteady Stagnation-Point Flow Over a Moving Wall Considering Blowing Effects

[+] Author and Article Information
Tiegang Fang

Mechanical and Aerospace
Engineering Department,
North Carolina State University,
3246 Engineering Building III–
Campus Box 7910,
911 Oval Drive,
Raleigh, NC 27695
e-mail: tfang2@ncsu.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 28, 2013; final manuscript received February 3, 2014; published online May 6, 2014. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 136(7), 071103 (May 06, 2014) (7 pages) Paper No: FE-13-1342; doi: 10.1115/1.4026665 History: Received May 28, 2013; Revised February 03, 2014

In this paper, the flow and mass transfer of a two-dimensional unsteady stagnation-point flow over a moving wall, considering the coupled blowing effect from mass transfer, is studied. Similarity equations are derived and solved in a closed form. The flow solution is an exact solution to the two-dimensional unsteady Navier–Stokes equations. An analytical solution of the boundary layer mass transfer equation is obtained together with the momentum solution. The examples demonstrate the significant impacts of the blowing effects on the flow and mass transfer characteristics. A higher blowing parameter results in a lower wall stress and thicker boundary layers with less mass transfer flux at the wall. The higher wall moving parameters produce higher mass transfer flux and blowing velocity. The Schmidt parameters generate a local maximum for the mass transfer flux and blowing velocity under given wall moving and blowing parameters.

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Figures

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Fig. 1

Schematic of the flow configuration

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Fig. 2

Solution domain for δ as a function of the blowing parameters under different Schmidt numbers for (a) λ = 4 and (b) λ = 13

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Fig. 3

Solution domain for δ as a function of the Schmidt numbers under different blowing parameters for (a) λ = 4 and (b) λ = 13

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Fig. 5

Velocity and concentration profiles for different blowing parameters at λ = 4 under (a) Sc = 1 and (b) Sc = 10

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Fig. 6

Velocity and concentration profiles for different blowing parameters at λ = 13 under (a) Sc = 1 and (b) Sc = 10

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Fig. 4

Solution behavior of δ for large values of the Schmidt numbers for λ = 13 and s = 10

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Fig. 7

The mass transfer flux -θ'(0) as a function of the Schmidt numbers under different blowing parameters for (a) λ = 4 and (b) λ = 13

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Fig. 8

The blowing velocity -sθ'(0) as a function of the Schmidt numbers under different blowing parameters for (a) λ=4 and (b) λ=13

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